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Finding the Fourth Proportional to 11,549.21, 15,838.49 and 11,069.89

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Solution

The fourth proportional to 11,549.21, 15,838.49 and 11,069.89 is: 15,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.21 : 15,838.49 = 11,069.89 : x
  2. Step 2: Convert to fraction form
    11,549.21/15,838.49 = 11,069.89/x
  3. Step 3: Cross multiply
    11,549.21x = 15,838.49 × 11,069.89
  4. Step 4: Simplify right side
    11,549.21x = 175,330,312.42
  5. Step 5: Solve for x
    x = 175,330,312.42/11,549.21
  6. Step 6: Final answer
    x = 15,181.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.